A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients

We are interested in the approximate analytical solutions of the wave-likenonlinear equations with variable coefficients. We use a wave operator,which provides a convenient way of controlling all initial and boundaryconditions. The proposed choice of the auxiliary operator helps to find theapproxima...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2015, Vol.2015 (2015), p.212-218
Main Author: Aslanov, Afgan
Format: Article
Language:English
Subjects:
Approximation
Boundary conditions
Boundary value problems
Differential equations, Nonlinear
Discretization
Homotopy theory
Linearization
Mathematical analysis
Mathematical research
Nonlinear equations
Nonlinearity
Operators
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Summary:We are interested in the approximate analytical solutions of the wave-likenonlinear equations with variable coefficients. We use a wave operator,which provides a convenient way of controlling all initial and boundaryconditions. The proposed choice of the auxiliary operator helps to find theapproximate series solution without any discretization, linearization, orrestrictive assumptions. Several examples are given to verify thereliability and efficiency of the method.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/628310